104915459376 has 540 divisors, whose sum is σ = 385550041968. Its totient is φ = 26348281344.

The previous prime is 104915459359. The next prime is 104915459413. The reversal of 104915459376 is 673954519401.

104915459376 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 1 + 545 + 93 + 7 + 6 = 666.

104915459376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104915459376² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 470472801 + ... + 470473023.

Almost surely, 2^104915459376 is an apocalyptic number.

104915459376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104915459376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192775020984).

104915459376 is an abundant number, since it is smaller than the sum of its proper divisors (280634582592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104915459376 is a wasteful number, since it uses less digits than its factorization.

104915459376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 104915459376 in words is "one hundred four billion, nine hundred fifteen million, four hundred fifty-nine thousand, three hundred seventy-six".